2496: AtCoder166 C - Peaks
Memory Limit:128 MB
Time Limit:1.000 S
Judge Style:Text Compare
Creator:
Submit:5
Solved:5
Description
Problem Statement
There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ......, Obs. N. The elevation of Obs. i is Hi. There are also M roads, each connecting two different observatories. Road j connects Obs. Aj and Obs. Bj.Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road.
How many good observatories are there?
Constraints
- 2≤N≤105
- 1≤M≤105
- 1≤Hi≤109
- 1≤Ai,Bi≤N
- Ai≠Bi
- Multiple roads may connect the same pair of observatories.
- All values in input are integers.
Input
Input is given from Standard Input in the following format:
N M H1 H2 ......HN A1 B1 A2 B2 :: AM BM
Output
Print the number of good observatories.
Sample Input Copy
4 3
1 2 3 4
1 3
2 3
2 4
Sample Output Copy
2